A) \[\frac{15}{8}\]
B) \[1\]
C) \[\frac{4}{9}\]
D) \[2\]
Correct Answer: D
Solution :
\[{{\alpha }^{2}}+{{\beta }^{2}}=(\alpha +{{\beta }^{2}})-2\alpha \beta \] |
\[={{(3-\lambda )}^{2}}-2(2-\lambda )\] |
\[={{\lambda }^{2}}+9-6\lambda -4+2\lambda \] |
\[={{\lambda }^{2}}-4\lambda +5\] |
\[\therefore \]For least value\[\lambda =2.\] |
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